solemnwar said:
From the Online Etymology Dictionary:
vampire (n.) 1734, from French vampire or German Vampir (1732, in an account of Hungarian vampires), from Hungarian vampir, from Old Church Slavonic opiri (cf. Serbian vampir, Bulgarian vapir, Ukrainian uper), said by Slavic linguist Franc Miklo?iè to be ultimtely from Kazan Tatar ubyr "witch," but Max Vasmer, an expert in this linguistic area, finds that phonetically doubtful. An Eastern European creature popularized in English by late 19c. gothic novels, however there are scattered English accounts of night-walking, blood-gorged, plague-spreading undead corpses from as far back as 1196. Applied 1774 by French biologist Buffon to a species of South American blood-sucking bat.
The word came before the naming of the bat.
From: http://www.answers.com
With sources cited as:
Allen, Glover Morrill. Bats. New York: Dover Publications, 1939, pp.1-25.
Darwin, Charles. Journal of researches into the Natural history and Geology of the Countries Visited during the Voyage of H. M. S. Beagle Round the World. London: John Murray, 1879, p. 22.
Hill, John E., and James D. Smith. Bats: A Natural History. London: British Museum, 1984, pp. 158-64.
Robertson, James. The Complete Bat. London: Chatto & Windus, 1990, pp. 62-72.
Turner, Dennis C. The Vampire Bat: A Field Study in Behavior and Ecology. Baltimore, MD: Johns Hopkins University Press, 1975, pp. 1-7.
"Two sixteenth-century Europeans, Dr. Oliedo y Valdez (1526) and M. Giroalme Benzoni, (1565) were the first to bring word of the vampire bat to their homelands. Benzoni, in his History of the New World, notes: There are many beasts which bite people during the night; they are found all along this coast to the Gulf of Paria and in other areas, but in no other part are they as pestiferous as in this province Nuevo Cartago, today Costa Rica; they have gotten to me at several places along this coast and especially at Nombre de Dios, where while I was sleeping they bit the toes of my feet so delicately that I felt nothing, and in the morning I found the sheets and mattresses with so much blood that it seemed that I had suffered some great injury. (Turner, 2)"
It also fits in with the discovery of South America as oppose to 1700, which makes no logical sense. So, as I originally stated, I think the term was applied after the discovery of the bat, since vampires as we currently know them were popularized in the 1800s, according to your own source.